Least Common Multiple of 6503/668, 1799/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6503/668, 1799/334 quickly i.e. 1671271/334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6503/668, 1799/334 is 1671271/334.

LCM(6503/668, 1799/334) = 1671271/334

LCM of 6503/668, 1799/334

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6503/668,1799/334

Given numbers are 6503/668,1799/334

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6503,1799

Least Common Multiple of Numerators i.e. LCM of 6503,1799 is 1671271.

GCF of Denominators means GCF of 668,334 as per the given fractions.

GCF of 668,334 is 334 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6503,1799

LCM of Fractions 6503/668,1799/334 is 1671271/334

7 6503, 1799
929, 257

∴ So the LCM of the given numbers is 7 x 929 x 257 = 1671271

Least Common Multiple of 6503,1799 with GCF Formula

Least Common Multiple of 6503,1799 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6503,1799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6503,1799) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(6503,1799) x common factors =7 x 1 = 7

LCM(6503,1799) = ( 6503 × 1799 ) / 7

LCM(6503,1799) = 11698897 / 7

LCM(6503,1799) = 1671271


Lets's calculate GCF of 668,334

2 668, 334
167 334, 167
2, 1

∴ So the GCF of the given numbers is 2 x 167 = 334

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1671271/334

Therefore the LCM of Fractions 6503/668,1799/334 is 1671271/334

Greatest Common Factor of 668,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,334 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 668,334 . The biggest common factor number is the GCF number.
So the greatest common factor 668,334 is 334.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6503/668, 1799/334

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6503/668, 1799/334?

Answer: LCM of Numerators as per given numbers 6503/668, 1799/334 is

LCM of Numerators i.e. for 6503,1799 is 1671271

GCF of denominators i.e. for 668,334 is 334.

Thus, LCM of Fractions is 1671271/334.Finally, LCM of Fractions for 6503/668, 1799/334 is 1671271/334.